A multi-resolution data structure for two-dimensional Morse-Smale functions Conference Paper


Author(s): Bremer, Peer-Timo; Edelsbrunner, Herbert; Hamann, Bernd; Pascucci, Valerio
Title: A multi-resolution data structure for two-dimensional Morse-Smale functions
Affiliation
Abstract: We combine topological and geometric methods to construct a multi-resolution data structure for functions over two-dimensional domains. Starting with the Morse-Smale complex, we construct a topological hierarchy by progressively canceling critical points in pairs. Concurrently, we create a geometric hierarchy by adapting the geometry to the changes in topology. The data structure supports mesh traversal operations similarly to traditional multi-resolution representations.
Conference Title: VIS: IEEE Visualization
Conference Dates: October 24, 2003
Conference Location: Seattle, Washington
Publisher: IEEE  
Location: Washington, DC, USA
Date Published: 2003-08-01
Start Page: 139
End Page: 146
DOI: 10.1109/VISUAL.2003.1250365
Open access: no
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